Coefficient estimates for a class of bi-univalent functions involving Mittag-Leffler type Borel distribution

Volume 16, Issue 3, pp 180--197 http://dx.doi.org/10.22436/jnsa.016.03.04
Publication Date: October 08, 2023 Submission Date: July 31, 2023 Revision Date: August 17, 2023 Accteptance Date: August 20, 2023

Authors

B. Khan - School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, Peoples Republic of China. M. Ghaffar Khan - Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, Pakistan. T. G. Shaba - Department of Mathematics, Landmark University, Omu-Aran 251103, Nigeria.


Abstract

In recent years, many new subclasses of analytic and bi-univalent functions have been studied and examined from different viewpoints and prospectives. In this article, we introduce new subclass of analytic and bi-univalent functions based on Mittag-Leffler type Borel distribution associated with the Gegenbauer polynomials. Furthermore we obtain estimates for \(\left\vert a_{2}\right\vert ,\) \(\left\vert a_{3}\right\vert \), and \(\left\vert a_{4}\right\vert \) coefficients and Fekete-Szego inequality for this functions class. Providing specific values to parameters involved in our main results, we get some new results.


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ISRP Style

B. Khan, M. Ghaffar Khan, T. G. Shaba, Coefficient estimates for a class of bi-univalent functions involving Mittag-Leffler type Borel distribution, Journal of Nonlinear Sciences and Applications, 16 (2023), no. 3, 180--197

AMA Style

Khan B., Khan M. Ghaffar, Shaba T. G., Coefficient estimates for a class of bi-univalent functions involving Mittag-Leffler type Borel distribution. J. Nonlinear Sci. Appl. (2023); 16(3):180--197

Chicago/Turabian Style

Khan, B., Khan, M. Ghaffar, Shaba, T. G.. "Coefficient estimates for a class of bi-univalent functions involving Mittag-Leffler type Borel distribution." Journal of Nonlinear Sciences and Applications, 16, no. 3 (2023): 180--197


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